Abstract

We calculate the effects of simple symmetry breaking on the mass spectrum, neutral isoscalar mixing angles, and decays of pseudoscalar mesons using a chiral SU(4) nonlinear model to describe the mesons. We find that in addition to quark-mass-type terms, a simple U(1)-breaking term will induce a reasonable isoscalar mass spectrum, give a low value for the ${\ensuremath{\eta}}^{\ensuremath{'}}\ensuremath{\rightarrow}\ensuremath{\eta}\ensuremath{\pi}\ensuremath{\pi}$ decay, and is the dominant contribution to the ${\ensuremath{\eta}}^{\ensuremath{'}\ensuremath{'}}$ (paracharmonium) decay into three isoscalars. We also calculate the effects of symmetry breaking on hadronic currents and thus on the weak decays of new mesons.

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